Results 21 to 30 of about 868 (134)

Saddle Points of Partial Augmented Lagrangian Functions

Mathematical and Computational Applications
In this paper, we study a class of optimization problems with separable constraint structures, characterized by a combination of convex and nonconvex constraints.
Longfei Huang, Jingyong Tang, Yutian Wang, Jinchuan Zhou   +3 more
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Tangent Cones to TT Varieties

CoRR, 2017
As already done for the matrix case for example in [Joe Harris, Algebraic Geometry - A first course, p.256] we give a parametrization of the Bouligand tangent cone of the variety of tensors of bounded TT rank. We discuss how the proof generalizes to any binary hierarchical format. The parametrization can be rewritten as an orthogonal sum of TT tensors.
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External Tangents and Closedness of Cone + Subspace

Journal of Mathematical Analysis and Applications, 1994
Let \(C\) be a closed cone in a separable normed space \(E\) and \(S\) be a finite-dimensional subspace of \(E\). The authors find a nice geometric criterion for the algebraic sum \(C+S\) to be closed.
Peter Gritzmann, Victor Klee
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The Tangent Cone of a Local Ring of Codimension 2 [PDF]

Acta Mathematica Vietnamica, 2015
Let $(S, \mathfrak n) $ be a regular local ring and let $I \subseteq \mathfrak n^2 $ be a perfect ideal of $S. $ Sharp upper bounds on the minimal number of generators of $I$ are known in terms of the Hilbert function of $R=S/I. $ Starting from information on the ideal $I, $ for instance the minimal number of generators, a difficult task is to find ...
Mandal, Mousumi, Rossi, Maria Evelina
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Novel Geometric Construction Methods and Application for Embankment Surface

Axioms
Embankments are extensively applied in civil engineering and exist naturally, characterized by a constant slope ensuring stable material stacking. Despite their ubiquity, research on embankment surface geometric modeling remains limited.
Fangxiao Zhou, Zhiming Zou, Gang Wang, Jingshun Chen   +3 more
doaj   +1 more source

Specialization to the tangent cone and Whitney equisingularity [PDF]

Bulletin de la Société mathématique de France, 2013
Let (X,0) be a reduced, equidimensional germ of analytic singularity with reduced tangent cone (C_{X,0},0). We prove that the absence of exceptional cones is a necessary and sufficient condition for the smooth part \X^0 of the specialization to the tangent cone ϕ: \X \to \C to satisfy Whitney's conditions along the parameter axis Y.
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Optimality Conditions for Approximate Solutions in Multiobjective Optimization Problems

Journal of Inequalities and Applications, 2010
We study first- and second-order necessary and sufficient optimality conditions for approximate (weakly, properly) efficient solutions of multiobjective optimization problems. Here, tangent cone, -normal cone, cones of feasible directions, second-order
Lee HeungWingJoseph, Gao Ying, Yang Xinmin   +2 more
doaj  

Ruled Shells of Conical Type on Elliptical Base

Structural Mechanics of Engineering Constructions and Buildings
The information about main results on geometry of developable surfaces with an edge of regression which have a directrix ellipse in the base is gathered. These surfaces constitute a group called “Ruled surfaces of conical type on elliptical base”.
Sergey N. Krivoshapko
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An optimization problem for some nonlinear elliptic equation

Kuwait Journal of Science, 2016
In this paper we prove existence and uniqueness of the optimal solution for anoptimization problem related to a nonlinear elliptic equation. We use the concepttangent cones to derive the optimality condition satisfied by optimal solution.
Mohsen Zivari-Rezapour
doaj  

TBBOcc: A Lightweight Twin‐Branch Binarized Network for Efficient 3D Semantic Occupancy Prediction in Autonomous Driving

IET Intelligent Transport Systems
The safety decisions of autonomous driving systems rely on the accurate understanding of 3D scenes, and the existing 3D occupancy prediction (OCC) models are difficult to meet the requirements of in‐vehicle deployment due to their high computational ...
Yichen Zhang, Junyi Geng
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